Ken bought 2 video games and 1 DVD for a total of $105. Jerome bought 1 video game and 4 DVDs for a total of $80. Which system of equations can be
used to find the cost, in dollars, of each video game (v) and each DVD (d) at the store?

Answers

Answer 1

Answer:

I think that the Linear system of equations can be used to find the cost.

Step-by-step explanation:

Answer 2

Answer:

2v + 1d = 105

and

1v + 4d = 80

Step-by-step explanation:

ken : 2v + 1d = 105

Jerome : 1v + 4d = 80

1v + 4d = 80 Try to get a video games by its self

   - 4d    -4d

1v = 80 - 4d    

Plug into kens equation..

2(80 -4d) + 1d = 105

160 - 8d + 1d = 105

-160                 -160

-7d = -55

/-7        /-7

d = 7.86 (rounded)

Plug into Jeromes equation

1(7.86) + 4v = 80

- 7.86            - 7.86

4v = 72.14

/4     /4

v = 18.035 (round = 18)


Related Questions

Help!!!!!! Please I have no idea what this is!!!

Answers

Answer:

33.49 cubic units

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3 [/tex]

Please I need help this is due tomorrow and I'm falling behind :(:

Answers

This answer to your is 17

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

Write the x-intercept of the graph of 2x − y = 5.

Answers

The answer is X=5/2+y/2

In a new movie
theatre, seats will
be installed in the
unshaded area
How many square
feet are available
for seats?

Answers

Answer. 655.4

Step-by-step explanation:

what did u get?

Write the ratio as a fraction in simplest from 2ft to 30 in

Answers

Step-by-step explanation:

These for girls and guys who had there heart broken
Like me i just broke up with this girl and were datting for 5 month and she said that she lost feelings for me 1 month ago it made me really sad but i did know if she really meant all thoses words she said to me i feel like this pain hurts

Answers

Answer:

i felt that

Step-by-step explanation:

Trigonometry help finding the value of x

Answers

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.

In a particular lottery, 5 winning numbers are drawn from a set of 37 numbers. What is the probability of picking exactly 2 of the winning numbers in this lottery? Round your answer to the nearest
thousandth (three decimal places).

Answers

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

Da Baby has $45,000 and earns $2,500 each hour
from streams. JoJo Siwa has $62,000, earns $2,000
each hour from streams.
How
SI
Each equation represents the amount in the bank after
t hours.


Da Baby: s= 2,500t + 45,000
JoJo Siwa: s= = 2,000t + 62.000
How many hours, will it take for Da Baby and JoJo
Siwa to have the same amount in the bank?

Answers

Answer:

Step-by-step explanation:

maybe 30 vtfyubf6tyubtfcgnfgghghnvb ngvbhfhgbfvgn

Put the following equation of a line into slope-intercept form, simplifying all fractions. x + 2y = 16​

Answers

Answer:

x + 2y = 16

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = [tex]\frac{-1}{2}[/tex]x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = [tex]\frac{-1}{2}[/tex]x + 8

Have a super awesome day! :)

What is the slope of the line in the graph below?

Answers

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Ayyy i need some help

Answers

you just need to replace y with 4 so your problem is 9*4-10/5. first 9*4 is 36. then 10/5 is 2. now 36-2 is 34
9x4-10/5= 34 I’m pretty sure

Need help ASAP! due soon!!!

Answers

Answer:

C

Step-by-step explanation:

C

Answer - C

The slope is 4 since you can count up 4 and over 1 from the y intercept

The y intercept is 0,2 since it starts at 2


Pleaseee hurry and help

Answers

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

help me out with this question (geometry)

Answers

44° - a bisector cuts it into
equal pieces - both angles are 22

Answer:

44

Step-by-step explanation:

A angle bisector is a ray that bisects an angle into two congruent parts.

Using that information, Angle CAP=Angle PAB.

Angle PAB or Angle 2 =22 so using transitive Property, CAP or angle 1 =22.

We are asked to find the full angle so using Angle Addition

Angle CAP+ Angle PAB=CAB

22+22=CAB

44=CAB

7/9 - something = 2/9

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

add my sc tregan_fought

Answers

are you old???????????

Factor the expression.

6x + 6

Answers

6(x+1) is the answer

determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3

Answers

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Please help! I filled in a little circle bc i thought it was right XDD

Answers

That’s correct, as you’re reversing the positive on both sides for that number. Nice!
1st one is right.

The 4th and 2nd ones are obviously wrong. And the 3rd one is wrong too because you can’t add 3 1/5, because your trying to get rid of it.

PLS HELP FOR BRAINLIST!
Look at picture below and please solve. If possible, it would be great if you could show your work! TYSM!

Answers

Answer:

-2,-2,-2

Step-by-step explanation:

When you add -2 to itself, it equals -4. When you add -2 to -4, you get -6.

Answer: -2

Step-by-step explanation: -2 + -2 +-2 = -6

(2) Mai walked 1/8 of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning. *​

Answers

Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

what is the volume of this cylinder?

Answers

Answer:

volume of a cylinder is πr²h

ie

3.14 × 7× 7 × 11

you get

1692.46

Pls help, I will give brainliest.

Answers

Answer:

sup

Step-by-step explanation:

There’s nothing to answer!! Can I have brainlyist I just need one more:)))

Easy math question! Just need to subtract, help out ASAP!

Answers

Answer:

14,599

Step-by-step explanation:

helppppppppppppppppppppp!!!!! ASAPPPPPPPPPPP

Answers

Answer:

Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

How many terms? 7y-4+3f+6t

PLs I am doing a quiz

Answers

Answer:

B

Step-by-step explanation:

Answer:Only 1 term because the others are coefficients because they have a variable by them.

Write an equation that represents the line. (Use exact numbers)

Answers

Y=3\4+2

Slope=rise/run. 3\4
Y-intercept = 2

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{3}{4} x+2[/tex]

Step-by-step explanation:

When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.  

1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:

[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]

Thus, the slope is [tex]\frac{3}{4}[/tex].

2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.

3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex]  and the [tex]b[/tex] to write the equation of the line.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:

[tex]y = \frac{3}{4} x+2[/tex]

Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.

Answers

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

A shipping and handling free 35.00 is charged to all furniture over $250 if the order is $437.50 what percent is the shipping and handling free?

Answers

Answer:

8%

Step-by-step explanation:

Divide 35 and 437.50 and you get 0.8

Then multiply .8 times 100 = 8%

the other person is correct give brainliest
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